Results 1 to 10 of about 694,987 (371)
Flag fault-tolerant error correction with arbitrary distance codes [PDF]
Quantum, 2018 In this paper we introduce a general fault-tolerant quantum error correction protocol using flag circuits for measuring stabilizers of arbitrary distance codes. In addition to extending flag error correction beyond distance-three codes for the first time,
Christopher Chamberland +1 more
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Quantum Convolutional Error Correction Codes [PDF]
Physical Review A, 1998 I report two general methods to construct quantum convolutional codes for quantum registers with internal $N$ states. Using one of these methods, I construct a quantum convolutional code of rate 1/4 which is able to correct one general quantum error for every eight consecutive quantum registers.
A. Dholakia +19 more
openaire +7 more sources
Quantum error correction for quantum memories
Reviews of Modern Physics, 2015 Active quantum error correction using qubit stabilizer codes has emerged as a promising, but experimentally challenging, engineering program for building a universal quantum computer.
Terhal, Barbara M.
exaly +3 more sources
Flag Fault-Tolerant Error Correction for any Stabilizer Code [PDF]
PRX Quantum, 2020 Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grow linearly with the code’s maximum stabilizer generator weight.
Rui Chao, Ben W. Reichardt
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Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
Cryptography, 2021 The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers +1 more
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Frontiers in Physics, 2022 Quantum error correction technology is a vital method to eliminate noise during the operation of quantum computers. To solve the problem caused by noise, in this paper, reinforcement learning is used to encode defects of Semion codes, and the experience ...
Hao-Wen Wang +6 more
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Reduced complexity hard‐ and soft‐input BCH decoding with applications in concatenated codes
IET Circuits, Devices and Systems, 2021 Error correction coding for optical communication and storage requires high rate codes that enable high data throughput and low residual errors. Recently, different concatenated coding schemes were proposed that are based on binary BCH codes with low ...
Jürgen Freudenberger +2 more
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Quantum error correction with fractal topological codes [PDF]
Quantum, 2023 Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}.
Arpit Dua +2 more
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Nonadditive Quantum Error-Correcting Code [PDF]
Physical Review Letters, 2008 We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.
Yu, S., Chen, Q., Lai, C.H., Oh, C.H.
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Non-Malleable Code in the Split-State Model
Entropy, 2022 Non-malleable codes are a natural relaxation of error correction and error detection codes applicable in scenarios where error-correction or error-detection is impossible.
Divesh Aggarwal +2 more
doaj +1 more source